We look at the division of 349103 by 19 
Our goal is to divide 349103 by 19.

Moving on to step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 19

Advancing to step 2:
If we divide 34 by 19, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 19 from 34.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 19

Moving on to step 3:
19 can be fit into 159 8 times, resulting in a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
The remainder is 7 after subtracting 152 from 159.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 19

On to step 4:
If we divide 71 by 19, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 183.0
If we take 57 away from 71, we end up with 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 19

On to step 5:
When dividing 140 by 19, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 1837.0
Deduct 133 from 140 and we're left with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 19

On to step 6:
73 divided by 19 is 3 with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 18373.0
The remainder is 16 after subtracting 57 from 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
160 divided by 19 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 18373.8
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
When dividing 80 by 19, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18373.84
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 18373.842
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
If we divide 20 by 19, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 18373.8421
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
19 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 18373.8421
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
If we divide 100 by 19, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 18373.842105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
19 goes into 50 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 18373.8421052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
When dividing 120 by 19, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 18373.84210526
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 18373.84210526 with a remaining 6e-09.